#ifndef TRIGONOMETRY_TABLE_HPP
#define TRIGONOMETRY_TABLE_HPP

#include "util/typedefs.hpp"
#include <cmath>

#include <limits>

#include <boost/math/constants/constants.hpp>

namespace osrm
{
namespace util
{

constexpr unsigned short atan_table[4096] = {
    0x0000, 0x0014, 0x0028, 0x003d, 0x0051, 0x0065, 0x007a, 0x008e, 0x00a3, 0x00b7, 0x00cb, 0x00e0,
    0x00f4, 0x0108, 0x011d, 0x0131, 0x0146, 0x015a, 0x016e, 0x0183, 0x0197, 0x01ab, 0x01c0, 0x01d4,
    0x01e9, 0x01fd, 0x0211, 0x0226, 0x023a, 0x024e, 0x0263, 0x0277, 0x028c, 0x02a0, 0x02b4, 0x02c9,
    0x02dd, 0x02f1, 0x0306, 0x031a, 0x032f, 0x0343, 0x0357, 0x036c, 0x0380, 0x0394, 0x03a9, 0x03bd,
    0x03d2, 0x03e6, 0x03fa, 0x040f, 0x0423, 0x0437, 0x044c, 0x0460, 0x0475, 0x0489, 0x049d, 0x04b2,
    0x04c6, 0x04da, 0x04ef, 0x0503, 0x0517, 0x052c, 0x0540, 0x0555, 0x0569, 0x057d, 0x0592, 0x05a6,
    0x05ba, 0x05cf, 0x05e3, 0x05f8, 0x060c, 0x0620, 0x0635, 0x0649, 0x065d, 0x0672, 0x0686, 0x069b,
    0x06af, 0x06c3, 0x06d8, 0x06ec, 0x0700, 0x0715, 0x0729, 0x073d, 0x0752, 0x0766, 0x077b, 0x078f,
    0x07a3, 0x07b8, 0x07cc, 0x07e0, 0x07f5, 0x0809, 0x081d, 0x0832, 0x0846, 0x085b, 0x086f, 0x0883,
    0x0898, 0x08ac, 0x08c0, 0x08d5, 0x08e9, 0x08fd, 0x0912, 0x0926, 0x093b, 0x094f, 0x0963, 0x0978,
    0x098c, 0x09a0, 0x09b5, 0x09c9, 0x09dd, 0x09f2, 0x0a06, 0x0a1a, 0x0a2f, 0x0a43, 0x0a58, 0x0a6c,
    0x0a80, 0x0a95, 0x0aa9, 0x0abd, 0x0ad2, 0x0ae6, 0x0afa, 0x0b0f, 0x0b23, 0x0b37, 0x0b4c, 0x0b60,
    0x0b75, 0x0b89, 0x0b9d, 0x0bb2, 0x0bc6, 0x0bda, 0x0bef, 0x0c03, 0x0c17, 0x0c2c, 0x0c40, 0x0c54,
    0x0c69, 0x0c7d, 0x0c91, 0x0ca6, 0x0cba, 0x0cce, 0x0ce3, 0x0cf7, 0x0d0b, 0x0d20, 0x0d34, 0x0d48,
    0x0d5d, 0x0d71, 0x0d86, 0x0d9a, 0x0dae, 0x0dc3, 0x0dd7, 0x0deb, 0x0e00, 0x0e14, 0x0e28, 0x0e3d,
    0x0e51, 0x0e65, 0x0e7a, 0x0e8e, 0x0ea2, 0x0eb7, 0x0ecb, 0x0edf, 0x0ef4, 0x0f08, 0x0f1c, 0x0f31,
    0x0f45, 0x0f59, 0x0f6e, 0x0f82, 0x0f96, 0x0fab, 0x0fbf, 0x0fd3, 0x0fe8, 0x0ffc, 0x1010, 0x1025,
    0x1039, 0x104d, 0x1062, 0x1076, 0x108a, 0x109e, 0x10b3, 0x10c7, 0x10db, 0x10f0, 0x1104, 0x1118,
    0x112d, 0x1141, 0x1155, 0x116a, 0x117e, 0x1192, 0x11a7, 0x11bb, 0x11cf, 0x11e4, 0x11f8, 0x120c,
    0x1221, 0x1235, 0x1249, 0x125d, 0x1272, 0x1286, 0x129a, 0x12af, 0x12c3, 0x12d7, 0x12ec, 0x1300,
    0x1314, 0x1329, 0x133d, 0x1351, 0x1365, 0x137a, 0x138e, 0x13a2, 0x13b7, 0x13cb, 0x13df, 0x13f4,
    0x1408, 0x141c, 0x1431, 0x1445, 0x1459, 0x146d, 0x1482, 0x1496, 0x14aa, 0x14bf, 0x14d3, 0x14e7,
    0x14fb, 0x1510, 0x1524, 0x1538, 0x154d, 0x1561, 0x1575, 0x1589, 0x159e, 0x15b2, 0x15c6, 0x15db,
    0x15ef, 0x1603, 0x1617, 0x162c, 0x1640, 0x1654, 0x1669, 0x167d, 0x1691, 0x16a5, 0x16ba, 0x16ce,
    0x16e2, 0x16f7, 0x170b, 0x171f, 0x1733, 0x1748, 0x175c, 0x1770, 0x1784, 0x1799, 0x17ad, 0x17c1,
    0x17d6, 0x17ea, 0x17fe, 0x1812, 0x1827, 0x183b, 0x184f, 0x1863, 0x1878, 0x188c, 0x18a0, 0x18b4,
    0x18c9, 0x18dd, 0x18f1, 0x1905, 0x191a, 0x192e, 0x1942, 0x1957, 0x196b, 0x197f, 0x1993, 0x19a8,
    0x19bc, 0x19d0, 0x19e4, 0x19f9, 0x1a0d, 0x1a21, 0x1a35, 0x1a49, 0x1a5e, 0x1a72, 0x1a86, 0x1a9a,
    0x1aaf, 0x1ac3, 0x1ad7, 0x1aeb, 0x1b00, 0x1b14, 0x1b28, 0x1b3c, 0x1b51, 0x1b65, 0x1b79, 0x1b8d,
    0x1ba2, 0x1bb6, 0x1bca, 0x1bde, 0x1bf2, 0x1c07, 0x1c1b, 0x1c2f, 0x1c43, 0x1c58, 0x1c6c, 0x1c80,
    0x1c94, 0x1ca8, 0x1cbd, 0x1cd1, 0x1ce5, 0x1cf9, 0x1d0e, 0x1d22, 0x1d36, 0x1d4a, 0x1d5e, 0x1d73,
    0x1d87, 0x1d9b, 0x1daf, 0x1dc3, 0x1dd8, 0x1dec, 0x1e00, 0x1e14, 0x1e28, 0x1e3d, 0x1e51, 0x1e65,
    0x1e79, 0x1e8d, 0x1ea2, 0x1eb6, 0x1eca, 0x1ede, 0x1ef2, 0x1f07, 0x1f1b, 0x1f2f, 0x1f43, 0x1f57,
    0x1f6c, 0x1f80, 0x1f94, 0x1fa8, 0x1fbc, 0x1fd1, 0x1fe5, 0x1ff9, 0x200d, 0x2021, 0x2035, 0x204a,
    0x205e, 0x2072, 0x2086, 0x209a, 0x20ae, 0x20c3, 0x20d7, 0x20eb, 0x20ff, 0x2113, 0x2127, 0x213c,
    0x2150, 0x2164, 0x2178, 0x218c, 0x21a0, 0x21b5, 0x21c9, 0x21dd, 0x21f1, 0x2205, 0x2219, 0x222e,
    0x2242, 0x2256, 0x226a, 0x227e, 0x2292, 0x22a6, 0x22bb, 0x22cf, 0x22e3, 0x22f7, 0x230b, 0x231f,
    0x2333, 0x2348, 0x235c, 0x2370, 0x2384, 0x2398, 0x23ac, 0x23c0, 0x23d5, 0x23e9, 0x23fd, 0x2411,
    0x2425, 0x2439, 0x244d, 0x2461, 0x2476, 0x248a, 0x249e, 0x24b2, 0x24c6, 0x24da, 0x24ee, 0x2502,
    0x2517, 0x252b, 0x253f, 0x2553, 0x2567, 0x257b, 0x258f, 0x25a3, 0x25b7, 0x25cb, 0x25e0, 0x25f4,
    0x2608, 0x261c, 0x2630, 0x2644, 0x2658, 0x266c, 0x2680, 0x2694, 0x26a9, 0x26bd, 0x26d1, 0x26e5,
    0x26f9, 0x270d, 0x2721, 0x2735, 0x2749, 0x275d, 0x2771, 0x2785, 0x279a, 0x27ae, 0x27c2, 0x27d6,
    0x27ea, 0x27fe, 0x2812, 0x2826, 0x283a, 0x284e, 0x2862, 0x2876, 0x288a, 0x289e, 0x28b3, 0x28c7,
    0x28db, 0x28ef, 0x2903, 0x2917, 0x292b, 0x293f, 0x2953, 0x2967, 0x297b, 0x298f, 0x29a3, 0x29b7,
    0x29cb, 0x29df, 0x29f3, 0x2a07, 0x2a1b, 0x2a2f, 0x2a43, 0x2a58, 0x2a6c, 0x2a80, 0x2a94, 0x2aa8,
    0x2abc, 0x2ad0, 0x2ae4, 0x2af8, 0x2b0c, 0x2b20, 0x2b34, 0x2b48, 0x2b5c, 0x2b70, 0x2b84, 0x2b98,
    0x2bac, 0x2bc0, 0x2bd4, 0x2be8, 0x2bfc, 0x2c10, 0x2c24, 0x2c38, 0x2c4c, 0x2c60, 0x2c74, 0x2c88,
    0x2c9c, 0x2cb0, 0x2cc4, 0x2cd8, 0x2cec, 0x2d00, 0x2d14, 0x2d28, 0x2d3c, 0x2d50, 0x2d64, 0x2d78,
    0x2d8c, 0x2da0, 0x2db4, 0x2dc8, 0x2ddc, 0x2df0, 0x2e04, 0x2e18, 0x2e2c, 0x2e40, 0x2e54, 0x2e68,
    0x2e7c, 0x2e90, 0x2ea3, 0x2eb7, 0x2ecb, 0x2edf, 0x2ef3, 0x2f07, 0x2f1b, 0x2f2f, 0x2f43, 0x2f57,
    0x2f6b, 0x2f7f, 0x2f93, 0x2fa7, 0x2fbb, 0x2fcf, 0x2fe3, 0x2ff7, 0x300b, 0x301e, 0x3032, 0x3046,
    0x305a, 0x306e, 0x3082, 0x3096, 0x30aa, 0x30be, 0x30d2, 0x30e6, 0x30fa, 0x310e, 0x3122, 0x3135,
    0x3149, 0x315d, 0x3171, 0x3185, 0x3199, 0x31ad, 0x31c1, 0x31d5, 0x31e9, 0x31fd, 0x3210, 0x3224,
    0x3238, 0x324c, 0x3260, 0x3274, 0x3288, 0x329c, 0x32b0, 0x32c3, 0x32d7, 0x32eb, 0x32ff, 0x3313,
    0x3327, 0x333b, 0x334f, 0x3363, 0x3376, 0x338a, 0x339e, 0x33b2, 0x33c6, 0x33da, 0x33ee, 0x3401,
    0x3415, 0x3429, 0x343d, 0x3451, 0x3465, 0x3479, 0x348c, 0x34a0, 0x34b4, 0x34c8, 0x34dc, 0x34f0,
    0x3504, 0x3517, 0x352b, 0x353f, 0x3553, 0x3567, 0x357b, 0x358e, 0x35a2, 0x35b6, 0x35ca, 0x35de,
    0x35f2, 0x3605, 0x3619, 0x362d, 0x3641, 0x3655, 0x3668, 0x367c, 0x3690, 0x36a4, 0x36b8, 0x36cb,
    0x36df, 0x36f3, 0x3707, 0x371b, 0x372f, 0x3742, 0x3756, 0x376a, 0x377e, 0x3791, 0x37a5, 0x37b9,
    0x37cd, 0x37e1, 0x37f4, 0x3808, 0x381c, 0x3830, 0x3844, 0x3857, 0x386b, 0x387f, 0x3893, 0x38a6,
    0x38ba, 0x38ce, 0x38e2, 0x38f5, 0x3909, 0x391d, 0x3931, 0x3944, 0x3958, 0x396c, 0x3980, 0x3993,
    0x39a7, 0x39bb, 0x39cf, 0x39e2, 0x39f6, 0x3a0a, 0x3a1e, 0x3a31, 0x3a45, 0x3a59, 0x3a6d, 0x3a80,
    0x3a94, 0x3aa8, 0x3abb, 0x3acf, 0x3ae3, 0x3af7, 0x3b0a, 0x3b1e, 0x3b32, 0x3b45, 0x3b59, 0x3b6d,
    0x3b81, 0x3b94, 0x3ba8, 0x3bbc, 0x3bcf, 0x3be3, 0x3bf7, 0x3c0b, 0x3c1e, 0x3c32, 0x3c46, 0x3c59,
    0x3c6d, 0x3c81, 0x3c94, 0x3ca8, 0x3cbc, 0x3ccf, 0x3ce3, 0x3cf7, 0x3d0a, 0x3d1e, 0x3d32, 0x3d45,
    0x3d59, 0x3d6d, 0x3d80, 0x3d94, 0x3da8, 0x3dbb, 0x3dcf, 0x3de3, 0x3df6, 0x3e0a, 0x3e1e, 0x3e31,
    0x3e45, 0x3e59, 0x3e6c, 0x3e80, 0x3e93, 0x3ea7, 0x3ebb, 0x3ece, 0x3ee2, 0x3ef6, 0x3f09, 0x3f1d,
    0x3f30, 0x3f44, 0x3f58, 0x3f6b, 0x3f7f, 0x3f93, 0x3fa6, 0x3fba, 0x3fcd, 0x3fe1, 0x3ff5, 0x4008,
    0x401c, 0x402f, 0x4043, 0x4057, 0x406a, 0x407e, 0x4091, 0x40a5, 0x40b8, 0x40cc, 0x40e0, 0x40f3,
    0x4107, 0x411a, 0x412e, 0x4142, 0x4155, 0x4169, 0x417c, 0x4190, 0x41a3, 0x41b7, 0x41ca, 0x41de,
    0x41f2, 0x4205, 0x4219, 0x422c, 0x4240, 0x4253, 0x4267, 0x427a, 0x428e, 0x42a1, 0x42b5, 0x42c9,
    0x42dc, 0x42f0, 0x4303, 0x4317, 0x432a, 0x433e, 0x4351, 0x4365, 0x4378, 0x438c, 0x439f, 0x43b3,
    0x43c6, 0x43da, 0x43ed, 0x4401, 0x4414, 0x4428, 0x443b, 0x444f, 0x4462, 0x4476, 0x4489, 0x449d,
    0x44b0, 0x44c4, 0x44d7, 0x44eb, 0x44fe, 0x4512, 0x4525, 0x4539, 0x454c, 0x4560, 0x4573, 0x4586,
    0x459a, 0x45ad, 0x45c1, 0x45d4, 0x45e8, 0x45fb, 0x460f, 0x4622, 0x4636, 0x4649, 0x465c, 0x4670,
    0x4683, 0x4697, 0x46aa, 0x46be, 0x46d1, 0x46e5, 0x46f8, 0x470b, 0x471f, 0x4732, 0x4746, 0x4759,
    0x476c, 0x4780, 0x4793, 0x47a7, 0x47ba, 0x47cd, 0x47e1, 0x47f4, 0x4808, 0x481b, 0x482e, 0x4842,
    0x4855, 0x4869, 0x487c, 0x488f, 0x48a3, 0x48b6, 0x48ca, 0x48dd, 0x48f0, 0x4904, 0x4917, 0x492a,
    0x493e, 0x4951, 0x4965, 0x4978, 0x498b, 0x499f, 0x49b2, 0x49c5, 0x49d9, 0x49ec, 0x49ff, 0x4a13,
    0x4a26, 0x4a39, 0x4a4d, 0x4a60, 0x4a73, 0x4a87, 0x4a9a, 0x4aad, 0x4ac1, 0x4ad4, 0x4ae7, 0x4afb,
    0x4b0e, 0x4b21, 0x4b35, 0x4b48, 0x4b5b, 0x4b6f, 0x4b82, 0x4b95, 0x4ba8, 0x4bbc, 0x4bcf, 0x4be2,
    0x4bf6, 0x4c09, 0x4c1c, 0x4c2f, 0x4c43, 0x4c56, 0x4c69, 0x4c7d, 0x4c90, 0x4ca3, 0x4cb6, 0x4cca,
    0x4cdd, 0x4cf0, 0x4d03, 0x4d17, 0x4d2a, 0x4d3d, 0x4d50, 0x4d64, 0x4d77, 0x4d8a, 0x4d9d, 0x4db1,
    0x4dc4, 0x4dd7, 0x4dea, 0x4dfe, 0x4e11, 0x4e24, 0x4e37, 0x4e4b, 0x4e5e, 0x4e71, 0x4e84, 0x4e97,
    0x4eab, 0x4ebe, 0x4ed1, 0x4ee4, 0x4ef7, 0x4f0b, 0x4f1e, 0x4f31, 0x4f44, 0x4f57, 0x4f6b, 0x4f7e,
    0x4f91, 0x4fa4, 0x4fb7, 0x4fcb, 0x4fde, 0x4ff1, 0x5004, 0x5017, 0x502a, 0x503e, 0x5051, 0x5064,
    0x5077, 0x508a, 0x509d, 0x50b1, 0x50c4, 0x50d7, 0x50ea, 0x50fd, 0x5110, 0x5123, 0x5137, 0x514a,
    0x515d, 0x5170, 0x5183, 0x5196, 0x51a9, 0x51bc, 0x51d0, 0x51e3, 0x51f6, 0x5209, 0x521c, 0x522f,
    0x5242, 0x5255, 0x5268, 0x527c, 0x528f, 0x52a2, 0x52b5, 0x52c8, 0x52db, 0x52ee, 0x5301, 0x5314,
    0x5327, 0x533a, 0x534e, 0x5361, 0x5374, 0x5387, 0x539a, 0x53ad, 0x53c0, 0x53d3, 0x53e6, 0x53f9,
    0x540c, 0x541f, 0x5432, 0x5445, 0x5458, 0x546b, 0x547e, 0x5491, 0x54a5, 0x54b8, 0x54cb, 0x54de,
    0x54f1, 0x5504, 0x5517, 0x552a, 0x553d, 0x5550, 0x5563, 0x5576, 0x5589, 0x559c, 0x55af, 0x55c2,
    0x55d5, 0x55e8, 0x55fb, 0x560e, 0x5621, 0x5634, 0x5647, 0x565a, 0x566d, 0x5680, 0x5693, 0x56a6,
    0x56b9, 0x56cb, 0x56de, 0x56f1, 0x5704, 0x5717, 0x572a, 0x573d, 0x5750, 0x5763, 0x5776, 0x5789,
    0x579c, 0x57af, 0x57c2, 0x57d5, 0x57e8, 0x57fb, 0x580e, 0x5820, 0x5833, 0x5846, 0x5859, 0x586c,
    0x587f, 0x5892, 0x58a5, 0x58b8, 0x58cb, 0x58de, 0x58f0, 0x5903, 0x5916, 0x5929, 0x593c, 0x594f,
    0x5962, 0x5975, 0x5988, 0x599a, 0x59ad, 0x59c0, 0x59d3, 0x59e6, 0x59f9, 0x5a0c, 0x5a1f, 0x5a31,
    0x5a44, 0x5a57, 0x5a6a, 0x5a7d, 0x5a90, 0x5aa2, 0x5ab5, 0x5ac8, 0x5adb, 0x5aee, 0x5b01, 0x5b13,
    0x5b26, 0x5b39, 0x5b4c, 0x5b5f, 0x5b72, 0x5b84, 0x5b97, 0x5baa, 0x5bbd, 0x5bd0, 0x5be2, 0x5bf5,
    0x5c08, 0x5c1b, 0x5c2e, 0x5c40, 0x5c53, 0x5c66, 0x5c79, 0x5c8c, 0x5c9e, 0x5cb1, 0x5cc4, 0x5cd7,
    0x5ce9, 0x5cfc, 0x5d0f, 0x5d22, 0x5d34, 0x5d47, 0x5d5a, 0x5d6d, 0x5d7f, 0x5d92, 0x5da5, 0x5db8,
    0x5dca, 0x5ddd, 0x5df0, 0x5e03, 0x5e15, 0x5e28, 0x5e3b, 0x5e4d, 0x5e60, 0x5e73, 0x5e86, 0x5e98,
    0x5eab, 0x5ebe, 0x5ed0, 0x5ee3, 0x5ef6, 0x5f09, 0x5f1b, 0x5f2e, 0x5f41, 0x5f53, 0x5f66, 0x5f79,
    0x5f8b, 0x5f9e, 0x5fb1, 0x5fc3, 0x5fd6, 0x5fe9, 0x5ffb, 0x600e, 0x6021, 0x6033, 0x6046, 0x6059,
    0x606b, 0x607e, 0x6091, 0x60a3, 0x60b6, 0x60c8, 0x60db, 0x60ee, 0x6100, 0x6113, 0x6126, 0x6138,
    0x614b, 0x615d, 0x6170, 0x6183, 0x6195, 0x61a8, 0x61ba, 0x61cd, 0x61e0, 0x61f2, 0x6205, 0x6217,
    0x622a, 0x623d, 0x624f, 0x6262, 0x6274, 0x6287, 0x6299, 0x62ac, 0x62bf, 0x62d1, 0x62e4, 0x62f6,
    0x6309, 0x631b, 0x632e, 0x6340, 0x6353, 0x6366, 0x6378, 0x638b, 0x639d, 0x63b0, 0x63c2, 0x63d5,
    0x63e7, 0x63fa, 0x640c, 0x641f, 0x6431, 0x6444, 0x6456, 0x6469, 0x647b, 0x648e, 0x64a0, 0x64b3,
    0x64c5, 0x64d8, 0x64ea, 0x64fd, 0x650f, 0x6522, 0x6534, 0x6547, 0x6559, 0x656c, 0x657e, 0x6591,
    0x65a3, 0x65b5, 0x65c8, 0x65da, 0x65ed, 0x65ff, 0x6612, 0x6624, 0x6637, 0x6649, 0x665b, 0x666e,
    0x6680, 0x6693, 0x66a5, 0x66b8, 0x66ca, 0x66dc, 0x66ef, 0x6701, 0x6714, 0x6726, 0x6738, 0x674b,
    0x675d, 0x6770, 0x6782, 0x6794, 0x67a7, 0x67b9, 0x67cc, 0x67de, 0x67f0, 0x6803, 0x6815, 0x6827,
    0x683a, 0x684c, 0x685e, 0x6871, 0x6883, 0x6896, 0x68a8, 0x68ba, 0x68cd, 0x68df, 0x68f1, 0x6904,
    0x6916, 0x6928, 0x693b, 0x694d, 0x695f, 0x6972, 0x6984, 0x6996, 0x69a8, 0x69bb, 0x69cd, 0x69df,
    0x69f2, 0x6a04, 0x6a16, 0x6a29, 0x6a3b, 0x6a4d, 0x6a5f, 0x6a72, 0x6a84, 0x6a96, 0x6aa9, 0x6abb,
    0x6acd, 0x6adf, 0x6af2, 0x6b04, 0x6b16, 0x6b28, 0x6b3b, 0x6b4d, 0x6b5f, 0x6b71, 0x6b84, 0x6b96,
    0x6ba8, 0x6bba, 0x6bcd, 0x6bdf, 0x6bf1, 0x6c03, 0x6c15, 0x6c28, 0x6c3a, 0x6c4c, 0x6c5e, 0x6c70,
    0x6c83, 0x6c95, 0x6ca7, 0x6cb9, 0x6ccb, 0x6cde, 0x6cf0, 0x6d02, 0x6d14, 0x6d26, 0x6d39, 0x6d4b,
    0x6d5d, 0x6d6f, 0x6d81, 0x6d93, 0x6da6, 0x6db8, 0x6dca, 0x6ddc, 0x6dee, 0x6e00, 0x6e12, 0x6e25,
    0x6e37, 0x6e49, 0x6e5b, 0x6e6d, 0x6e7f, 0x6e91, 0x6ea3, 0x6eb6, 0x6ec8, 0x6eda, 0x6eec, 0x6efe,
    0x6f10, 0x6f22, 0x6f34, 0x6f46, 0x6f58, 0x6f6b, 0x6f7d, 0x6f8f, 0x6fa1, 0x6fb3, 0x6fc5, 0x6fd7,
    0x6fe9, 0x6ffb, 0x700d, 0x701f, 0x7031, 0x7043, 0x7055, 0x7068, 0x707a, 0x708c, 0x709e, 0x70b0,
    0x70c2, 0x70d4, 0x70e6, 0x70f8, 0x710a, 0x711c, 0x712e, 0x7140, 0x7152, 0x7164, 0x7176, 0x7188,
    0x719a, 0x71ac, 0x71be, 0x71d0, 0x71e2, 0x71f4, 0x7206, 0x7218, 0x722a, 0x723c, 0x724e, 0x7260,
    0x7272, 0x7284, 0x7296, 0x72a8, 0x72ba, 0x72cc, 0x72dd, 0x72ef, 0x7301, 0x7313, 0x7325, 0x7337,
    0x7349, 0x735b, 0x736d, 0x737f, 0x7391, 0x73a3, 0x73b5, 0x73c7, 0x73d8, 0x73ea, 0x73fc, 0x740e,
    0x7420, 0x7432, 0x7444, 0x7456, 0x7468, 0x747a, 0x748b, 0x749d, 0x74af, 0x74c1, 0x74d3, 0x74e5,
    0x74f7, 0x7509, 0x751a, 0x752c, 0x753e, 0x7550, 0x7562, 0x7574, 0x7585, 0x7597, 0x75a9, 0x75bb,
    0x75cd, 0x75df, 0x75f0, 0x7602, 0x7614, 0x7626, 0x7638, 0x764a, 0x765b, 0x766d, 0x767f, 0x7691,
    0x76a3, 0x76b4, 0x76c6, 0x76d8, 0x76ea, 0x76fb, 0x770d, 0x771f, 0x7731, 0x7743, 0x7754, 0x7766,
    0x7778, 0x778a, 0x779b, 0x77ad, 0x77bf, 0x77d1, 0x77e2, 0x77f4, 0x7806, 0x7818, 0x7829, 0x783b,
    0x784d, 0x785e, 0x7870, 0x7882, 0x7894, 0x78a5, 0x78b7, 0x78c9, 0x78da, 0x78ec, 0x78fe, 0x7910,
    0x7921, 0x7933, 0x7945, 0x7956, 0x7968, 0x797a, 0x798b, 0x799d, 0x79af, 0x79c0, 0x79d2, 0x79e4,
    0x79f5, 0x7a07, 0x7a19, 0x7a2a, 0x7a3c, 0x7a4e, 0x7a5f, 0x7a71, 0x7a82, 0x7a94, 0x7aa6, 0x7ab7,
    0x7ac9, 0x7adb, 0x7aec, 0x7afe, 0x7b0f, 0x7b21, 0x7b33, 0x7b44, 0x7b56, 0x7b67, 0x7b79, 0x7b8b,
    0x7b9c, 0x7bae, 0x7bbf, 0x7bd1, 0x7be2, 0x7bf4, 0x7c06, 0x7c17, 0x7c29, 0x7c3a, 0x7c4c, 0x7c5d,
    0x7c6f, 0x7c81, 0x7c92, 0x7ca4, 0x7cb5, 0x7cc7, 0x7cd8, 0x7cea, 0x7cfb, 0x7d0d, 0x7d1e, 0x7d30,
    0x7d41, 0x7d53, 0x7d64, 0x7d76, 0x7d87, 0x7d99, 0x7daa, 0x7dbc, 0x7dcd, 0x7ddf, 0x7df0, 0x7e02,
    0x7e13, 0x7e25, 0x7e36, 0x7e48, 0x7e59, 0x7e6b, 0x7e7c, 0x7e8e, 0x7e9f, 0x7eb0, 0x7ec2, 0x7ed3,
    0x7ee5, 0x7ef6, 0x7f08, 0x7f19, 0x7f2b, 0x7f3c, 0x7f4d, 0x7f5f, 0x7f70, 0x7f82, 0x7f93, 0x7fa4,
    0x7fb6, 0x7fc7, 0x7fd9, 0x7fea, 0x7ffb, 0x800d, 0x801e, 0x8030, 0x8041, 0x8052, 0x8064, 0x8075,
    0x8086, 0x8098, 0x80a9, 0x80bb, 0x80cc, 0x80dd, 0x80ef, 0x8100, 0x8111, 0x8123, 0x8134, 0x8145,
    0x8157, 0x8168, 0x8179, 0x818b, 0x819c, 0x81ad, 0x81bf, 0x81d0, 0x81e1, 0x81f3, 0x8204, 0x8215,
    0x8226, 0x8238, 0x8249, 0x825a, 0x826c, 0x827d, 0x828e, 0x829f, 0x82b1, 0x82c2, 0x82d3, 0x82e5,
    0x82f6, 0x8307, 0x8318, 0x832a, 0x833b, 0x834c, 0x835d, 0x836f, 0x8380, 0x8391, 0x83a2, 0x83b3,
    0x83c5, 0x83d6, 0x83e7, 0x83f8, 0x840a, 0x841b, 0x842c, 0x843d, 0x844e, 0x8460, 0x8471, 0x8482,
    0x8493, 0x84a4, 0x84b6, 0x84c7, 0x84d8, 0x84e9, 0x84fa, 0x850b, 0x851d, 0x852e, 0x853f, 0x8550,
    0x8561, 0x8572, 0x8584, 0x8595, 0x85a6, 0x85b7, 0x85c8, 0x85d9, 0x85ea, 0x85fb, 0x860d, 0x861e,
    0x862f, 0x8640, 0x8651, 0x8662, 0x8673, 0x8684, 0x8695, 0x86a7, 0x86b8, 0x86c9, 0x86da, 0x86eb,
    0x86fc, 0x870d, 0x871e, 0x872f, 0x8740, 0x8751, 0x8762, 0x8773, 0x8784, 0x8796, 0x87a7, 0x87b8,
    0x87c9, 0x87da, 0x87eb, 0x87fc, 0x880d, 0x881e, 0x882f, 0x8840, 0x8851, 0x8862, 0x8873, 0x8884,
    0x8895, 0x88a6, 0x88b7, 0x88c8, 0x88d9, 0x88ea, 0x88fb, 0x890c, 0x891d, 0x892e, 0x893f, 0x8950,
    0x8961, 0x8972, 0x8983, 0x8994, 0x89a5, 0x89b6, 0x89c6, 0x89d7, 0x89e8, 0x89f9, 0x8a0a, 0x8a1b,
    0x8a2c, 0x8a3d, 0x8a4e, 0x8a5f, 0x8a70, 0x8a81, 0x8a92, 0x8aa3, 0x8ab3, 0x8ac4, 0x8ad5, 0x8ae6,
    0x8af7, 0x8b08, 0x8b19, 0x8b2a, 0x8b3b, 0x8b4b, 0x8b5c, 0x8b6d, 0x8b7e, 0x8b8f, 0x8ba0, 0x8bb1,
    0x8bc1, 0x8bd2, 0x8be3, 0x8bf4, 0x8c05, 0x8c16, 0x8c27, 0x8c37, 0x8c48, 0x8c59, 0x8c6a, 0x8c7b,
    0x8c8c, 0x8c9c, 0x8cad, 0x8cbe, 0x8ccf, 0x8ce0, 0x8cf0, 0x8d01, 0x8d12, 0x8d23, 0x8d34, 0x8d44,
    0x8d55, 0x8d66, 0x8d77, 0x8d87, 0x8d98, 0x8da9, 0x8dba, 0x8dca, 0x8ddb, 0x8dec, 0x8dfd, 0x8e0d,
    0x8e1e, 0x8e2f, 0x8e40, 0x8e50, 0x8e61, 0x8e72, 0x8e83, 0x8e93, 0x8ea4, 0x8eb5, 0x8ec5, 0x8ed6,
    0x8ee7, 0x8ef8, 0x8f08, 0x8f19, 0x8f2a, 0x8f3a, 0x8f4b, 0x8f5c, 0x8f6c, 0x8f7d, 0x8f8e, 0x8f9e,
    0x8faf, 0x8fc0, 0x8fd0, 0x8fe1, 0x8ff2, 0x9002, 0x9013, 0x9024, 0x9034, 0x9045, 0x9056, 0x9066,
    0x9077, 0x9088, 0x9098, 0x90a9, 0x90b9, 0x90ca, 0x90db, 0x90eb, 0x90fc, 0x910c, 0x911d, 0x912e,
    0x913e, 0x914f, 0x915f, 0x9170, 0x9181, 0x9191, 0x91a2, 0x91b2, 0x91c3, 0x91d3, 0x91e4, 0x91f5,
    0x9205, 0x9216, 0x9226, 0x9237, 0x9247, 0x9258, 0x9268, 0x9279, 0x9289, 0x929a, 0x92aa, 0x92bb,
    0x92cc, 0x92dc, 0x92ed, 0x92fd, 0x930e, 0x931e, 0x932f, 0x933f, 0x9350, 0x9360, 0x9370, 0x9381,
    0x9391, 0x93a2, 0x93b2, 0x93c3, 0x93d3, 0x93e4, 0x93f4, 0x9405, 0x9415, 0x9426, 0x9436, 0x9447,
    0x9457, 0x9467, 0x9478, 0x9488, 0x9499, 0x94a9, 0x94ba, 0x94ca, 0x94da, 0x94eb, 0x94fb, 0x950c,
    0x951c, 0x952c, 0x953d, 0x954d, 0x955e, 0x956e, 0x957e, 0x958f, 0x959f, 0x95af, 0x95c0, 0x95d0,
    0x95e1, 0x95f1, 0x9601, 0x9612, 0x9622, 0x9632, 0x9643, 0x9653, 0x9663, 0x9674, 0x9684, 0x9694,
    0x96a5, 0x96b5, 0x96c5, 0x96d6, 0x96e6, 0x96f6, 0x9707, 0x9717, 0x9727, 0x9738, 0x9748, 0x9758,
    0x9768, 0x9779, 0x9789, 0x9799, 0x97aa, 0x97ba, 0x97ca, 0x97da, 0x97eb, 0x97fb, 0x980b, 0x981b,
    0x982c, 0x983c, 0x984c, 0x985c, 0x986d, 0x987d, 0x988d, 0x989d, 0x98ad, 0x98be, 0x98ce, 0x98de,
    0x98ee, 0x98ff, 0x990f, 0x991f, 0x992f, 0x993f, 0x9950, 0x9960, 0x9970, 0x9980, 0x9990, 0x99a0,
    0x99b1, 0x99c1, 0x99d1, 0x99e1, 0x99f1, 0x9a01, 0x9a12, 0x9a22, 0x9a32, 0x9a42, 0x9a52, 0x9a62,
    0x9a72, 0x9a83, 0x9a93, 0x9aa3, 0x9ab3, 0x9ac3, 0x9ad3, 0x9ae3, 0x9af3, 0x9b04, 0x9b14, 0x9b24,
    0x9b34, 0x9b44, 0x9b54, 0x9b64, 0x9b74, 0x9b84, 0x9b94, 0x9ba4, 0x9bb5, 0x9bc5, 0x9bd5, 0x9be5,
    0x9bf5, 0x9c05, 0x9c15, 0x9c25, 0x9c35, 0x9c45, 0x9c55, 0x9c65, 0x9c75, 0x9c85, 0x9c95, 0x9ca5,
    0x9cb5, 0x9cc5, 0x9cd5, 0x9ce5, 0x9cf5, 0x9d05, 0x9d15, 0x9d25, 0x9d35, 0x9d45, 0x9d55, 0x9d65,
    0x9d75, 0x9d85, 0x9d95, 0x9da5, 0x9db5, 0x9dc5, 0x9dd5, 0x9de5, 0x9df5, 0x9e05, 0x9e15, 0x9e25,
    0x9e35, 0x9e45, 0x9e55, 0x9e65, 0x9e74, 0x9e84, 0x9e94, 0x9ea4, 0x9eb4, 0x9ec4, 0x9ed4, 0x9ee4,
    0x9ef4, 0x9f04, 0x9f14, 0x9f23, 0x9f33, 0x9f43, 0x9f53, 0x9f63, 0x9f73, 0x9f83, 0x9f93, 0x9fa3,
    0x9fb2, 0x9fc2, 0x9fd2, 0x9fe2, 0x9ff2, 0xa002, 0xa012, 0xa021, 0xa031, 0xa041, 0xa051, 0xa061,
    0xa071, 0xa080, 0xa090, 0xa0a0, 0xa0b0, 0xa0c0, 0xa0cf, 0xa0df, 0xa0ef, 0xa0ff, 0xa10f, 0xa11e,
    0xa12e, 0xa13e, 0xa14e, 0xa15e, 0xa16d, 0xa17d, 0xa18d, 0xa19d, 0xa1ac, 0xa1bc, 0xa1cc, 0xa1dc,
    0xa1eb, 0xa1fb, 0xa20b, 0xa21b, 0xa22a, 0xa23a, 0xa24a, 0xa25a, 0xa269, 0xa279, 0xa289, 0xa298,
    0xa2a8, 0xa2b8, 0xa2c8, 0xa2d7, 0xa2e7, 0xa2f7, 0xa306, 0xa316, 0xa326, 0xa335, 0xa345, 0xa355,
    0xa364, 0xa374, 0xa384, 0xa393, 0xa3a3, 0xa3b3, 0xa3c2, 0xa3d2, 0xa3e2, 0xa3f1, 0xa401, 0xa411,
    0xa420, 0xa430, 0xa440, 0xa44f, 0xa45f, 0xa46e, 0xa47e, 0xa48e, 0xa49d, 0xa4ad, 0xa4bc, 0xa4cc,
    0xa4dc, 0xa4eb, 0xa4fb, 0xa50a, 0xa51a, 0xa52a, 0xa539, 0xa549, 0xa558, 0xa568, 0xa577, 0xa587,
    0xa597, 0xa5a6, 0xa5b6, 0xa5c5, 0xa5d5, 0xa5e4, 0xa5f4, 0xa603, 0xa613, 0xa622, 0xa632, 0xa641,
    0xa651, 0xa660, 0xa670, 0xa67f, 0xa68f, 0xa69e, 0xa6ae, 0xa6bd, 0xa6cd, 0xa6dc, 0xa6ec, 0xa6fb,
    0xa70b, 0xa71a, 0xa72a, 0xa739, 0xa749, 0xa758, 0xa768, 0xa777, 0xa787, 0xa796, 0xa7a5, 0xa7b5,
    0xa7c4, 0xa7d4, 0xa7e3, 0xa7f3, 0xa802, 0xa812, 0xa821, 0xa830, 0xa840, 0xa84f, 0xa85f, 0xa86e,
    0xa87d, 0xa88d, 0xa89c, 0xa8ac, 0xa8bb, 0xa8ca, 0xa8da, 0xa8e9, 0xa8f8, 0xa908, 0xa917, 0xa927,
    0xa936, 0xa945, 0xa955, 0xa964, 0xa973, 0xa983, 0xa992, 0xa9a1, 0xa9b1, 0xa9c0, 0xa9cf, 0xa9df,
    0xa9ee, 0xa9fd, 0xaa0d, 0xaa1c, 0xaa2b, 0xaa3b, 0xaa4a, 0xaa59, 0xaa69, 0xaa78, 0xaa87, 0xaa96,
    0xaaa6, 0xaab5, 0xaac4, 0xaad4, 0xaae3, 0xaaf2, 0xab01, 0xab11, 0xab20, 0xab2f, 0xab3e, 0xab4e,
    0xab5d, 0xab6c, 0xab7b, 0xab8b, 0xab9a, 0xaba9, 0xabb8, 0xabc7, 0xabd7, 0xabe6, 0xabf5, 0xac04,
    0xac14, 0xac23, 0xac32, 0xac41, 0xac50, 0xac60, 0xac6f, 0xac7e, 0xac8d, 0xac9c, 0xacab, 0xacbb,
    0xacca, 0xacd9, 0xace8, 0xacf7, 0xad06, 0xad16, 0xad25, 0xad34, 0xad43, 0xad52, 0xad61, 0xad70,
    0xad80, 0xad8f, 0xad9e, 0xadad, 0xadbc, 0xadcb, 0xadda, 0xade9, 0xadf8, 0xae08, 0xae17, 0xae26,
    0xae35, 0xae44, 0xae53, 0xae62, 0xae71, 0xae80, 0xae8f, 0xae9e, 0xaead, 0xaebd, 0xaecc, 0xaedb,
    0xaeea, 0xaef9, 0xaf08, 0xaf17, 0xaf26, 0xaf35, 0xaf44, 0xaf53, 0xaf62, 0xaf71, 0xaf80, 0xaf8f,
    0xaf9e, 0xafad, 0xafbc, 0xafcb, 0xafda, 0xafe9, 0xaff8, 0xb007, 0xb016, 0xb025, 0xb034, 0xb043,
    0xb052, 0xb061, 0xb070, 0xb07f, 0xb08e, 0xb09d, 0xb0ac, 0xb0bb, 0xb0ca, 0xb0d9, 0xb0e8, 0xb0f6,
    0xb105, 0xb114, 0xb123, 0xb132, 0xb141, 0xb150, 0xb15f, 0xb16e, 0xb17d, 0xb18c, 0xb19b, 0xb1aa,
    0xb1b8, 0xb1c7, 0xb1d6, 0xb1e5, 0xb1f4, 0xb203, 0xb212, 0xb221, 0xb22f, 0xb23e, 0xb24d, 0xb25c,
    0xb26b, 0xb27a, 0xb289, 0xb297, 0xb2a6, 0xb2b5, 0xb2c4, 0xb2d3, 0xb2e2, 0xb2f1, 0xb2ff, 0xb30e,
    0xb31d, 0xb32c, 0xb33b, 0xb349, 0xb358, 0xb367, 0xb376, 0xb385, 0xb393, 0xb3a2, 0xb3b1, 0xb3c0,
    0xb3cf, 0xb3dd, 0xb3ec, 0xb3fb, 0xb40a, 0xb418, 0xb427, 0xb436, 0xb445, 0xb453, 0xb462, 0xb471,
    0xb480, 0xb48e, 0xb49d, 0xb4ac, 0xb4bb, 0xb4c9, 0xb4d8, 0xb4e7, 0xb4f6, 0xb504, 0xb513, 0xb522,
    0xb530, 0xb53f, 0xb54e, 0xb55c, 0xb56b, 0xb57a, 0xb588, 0xb597, 0xb5a6, 0xb5b5, 0xb5c3, 0xb5d2,
    0xb5e1, 0xb5ef, 0xb5fe, 0xb60d, 0xb61b, 0xb62a, 0xb638, 0xb647, 0xb656, 0xb664, 0xb673, 0xb682,
    0xb690, 0xb69f, 0xb6ae, 0xb6bc, 0xb6cb, 0xb6d9, 0xb6e8, 0xb6f7, 0xb705, 0xb714, 0xb722, 0xb731,
    0xb740, 0xb74e, 0xb75d, 0xb76b, 0xb77a, 0xb788, 0xb797, 0xb7a6, 0xb7b4, 0xb7c3, 0xb7d1, 0xb7e0,
    0xb7ee, 0xb7fd, 0xb80b, 0xb81a, 0xb829, 0xb837, 0xb846, 0xb854, 0xb863, 0xb871, 0xb880, 0xb88e,
    0xb89d, 0xb8ab, 0xb8ba, 0xb8c8, 0xb8d7, 0xb8e5, 0xb8f4, 0xb902, 0xb911, 0xb91f, 0xb92e, 0xb93c,
    0xb94b, 0xb959, 0xb968, 0xb976, 0xb984, 0xb993, 0xb9a1, 0xb9b0, 0xb9be, 0xb9cd, 0xb9db, 0xb9ea,
    0xb9f8, 0xba06, 0xba15, 0xba23, 0xba32, 0xba40, 0xba4f, 0xba5d, 0xba6b, 0xba7a, 0xba88, 0xba97,
    0xbaa5, 0xbab3, 0xbac2, 0xbad0, 0xbade, 0xbaed, 0xbafb, 0xbb0a, 0xbb18, 0xbb26, 0xbb35, 0xbb43,
    0xbb51, 0xbb60, 0xbb6e, 0xbb7c, 0xbb8b, 0xbb99, 0xbba8, 0xbbb6, 0xbbc4, 0xbbd3, 0xbbe1, 0xbbef,
    0xbbfd, 0xbc0c, 0xbc1a, 0xbc28, 0xbc37, 0xbc45, 0xbc53, 0xbc62, 0xbc70, 0xbc7e, 0xbc8c, 0xbc9b,
    0xbca9, 0xbcb7, 0xbcc6, 0xbcd4, 0xbce2, 0xbcf0, 0xbcff, 0xbd0d, 0xbd1b, 0xbd29, 0xbd38, 0xbd46,
    0xbd54, 0xbd62, 0xbd71, 0xbd7f, 0xbd8d, 0xbd9b, 0xbdaa, 0xbdb8, 0xbdc6, 0xbdd4, 0xbde2, 0xbdf1,
    0xbdff, 0xbe0d, 0xbe1b, 0xbe29, 0xbe38, 0xbe46, 0xbe54, 0xbe62, 0xbe70, 0xbe7f, 0xbe8d, 0xbe9b,
    0xbea9, 0xbeb7, 0xbec5, 0xbed4, 0xbee2, 0xbef0, 0xbefe, 0xbf0c, 0xbf1a, 0xbf28, 0xbf37, 0xbf45,
    0xbf53, 0xbf61, 0xbf6f, 0xbf7d, 0xbf8b, 0xbf99, 0xbfa7, 0xbfb6, 0xbfc4, 0xbfd2, 0xbfe0, 0xbfee,
    0xbffc, 0xc00a, 0xc018, 0xc026, 0xc034, 0xc042, 0xc051, 0xc05f, 0xc06d, 0xc07b, 0xc089, 0xc097,
    0xc0a5, 0xc0b3, 0xc0c1, 0xc0cf, 0xc0dd, 0xc0eb, 0xc0f9, 0xc107, 0xc115, 0xc123, 0xc131, 0xc13f,
    0xc14d, 0xc15b, 0xc169, 0xc177, 0xc185, 0xc193, 0xc1a1, 0xc1af, 0xc1bd, 0xc1cb, 0xc1d9, 0xc1e7,
    0xc1f5, 0xc203, 0xc211, 0xc21f, 0xc22d, 0xc23b, 0xc249, 0xc257, 0xc265, 0xc273, 0xc281, 0xc28f,
    0xc29d, 0xc2ab, 0xc2b8, 0xc2c6, 0xc2d4, 0xc2e2, 0xc2f0, 0xc2fe, 0xc30c, 0xc31a, 0xc328, 0xc336,
    0xc344, 0xc352, 0xc35f, 0xc36d, 0xc37b, 0xc389, 0xc397, 0xc3a5, 0xc3b3, 0xc3c1, 0xc3ce, 0xc3dc,
    0xc3ea, 0xc3f8, 0xc406, 0xc414, 0xc422, 0xc42f, 0xc43d, 0xc44b, 0xc459, 0xc467, 0xc475, 0xc482,
    0xc490, 0xc49e, 0xc4ac, 0xc4ba, 0xc4c7, 0xc4d5, 0xc4e3, 0xc4f1, 0xc4ff, 0xc50d, 0xc51a, 0xc528,
    0xc536, 0xc544, 0xc551, 0xc55f, 0xc56d, 0xc57b, 0xc589, 0xc596, 0xc5a4, 0xc5b2, 0xc5c0, 0xc5cd,
    0xc5db, 0xc5e9, 0xc5f7, 0xc604, 0xc612, 0xc620, 0xc62d, 0xc63b, 0xc649, 0xc657, 0xc664, 0xc672,
    0xc680, 0xc68d, 0xc69b, 0xc6a9, 0xc6b7, 0xc6c4, 0xc6d2, 0xc6e0, 0xc6ed, 0xc6fb, 0xc709, 0xc716,
    0xc724, 0xc732, 0xc73f, 0xc74d, 0xc75b, 0xc768, 0xc776, 0xc784, 0xc791, 0xc79f, 0xc7ad, 0xc7ba,
    0xc7c8, 0xc7d6, 0xc7e3, 0xc7f1, 0xc7fe, 0xc80c, 0xc81a, 0xc827, 0xc835, 0xc842, 0xc850, 0xc85e,
    0xc86b, 0xc879, 0xc886, 0xc894, 0xc8a2, 0xc8af, 0xc8bd, 0xc8ca, 0xc8d8, 0xc8e5, 0xc8f3, 0xc901,
    0xc90e, 0xc91c, 0xc929, 0xc937, 0xc944, 0xc952, 0xc95f, 0xc96d, 0xc97b, 0xc988, 0xc996, 0xc9a3,
    0xc9b1, 0xc9be, 0xc9cc, 0xc9d9, 0xc9e7, 0xc9f4, 0xca02, 0xca0f, 0xca1d, 0xca2a, 0xca38, 0xca45,
    0xca53, 0xca60, 0xca6e, 0xca7b, 0xca89, 0xca96, 0xcaa4, 0xcab1, 0xcabe, 0xcacc, 0xcad9, 0xcae7,
    0xcaf4, 0xcb02, 0xcb0f, 0xcb1d, 0xcb2a, 0xcb37, 0xcb45, 0xcb52, 0xcb60, 0xcb6d, 0xcb7b, 0xcb88,
    0xcb95, 0xcba3, 0xcbb0, 0xcbbe, 0xcbcb, 0xcbd8, 0xcbe6, 0xcbf3, 0xcc01, 0xcc0e, 0xcc1b, 0xcc29,
    0xcc36, 0xcc43, 0xcc51, 0xcc5e, 0xcc6c, 0xcc79, 0xcc86, 0xcc94, 0xcca1, 0xccae, 0xccbc, 0xccc9,
    0xccd6, 0xcce4, 0xccf1, 0xccfe, 0xcd0c, 0xcd19, 0xcd26, 0xcd34, 0xcd41, 0xcd4e, 0xcd5b, 0xcd69,
    0xcd76, 0xcd83, 0xcd91, 0xcd9e, 0xcdab, 0xcdb9, 0xcdc6, 0xcdd3, 0xcde0, 0xcdee, 0xcdfb, 0xce08,
    0xce15, 0xce23, 0xce30, 0xce3d, 0xce4a, 0xce58, 0xce65, 0xce72, 0xce7f, 0xce8d, 0xce9a, 0xcea7,
    0xceb4, 0xcec2, 0xcecf, 0xcedc, 0xcee9, 0xcef6, 0xcf04, 0xcf11, 0xcf1e, 0xcf2b, 0xcf38, 0xcf46,
    0xcf53, 0xcf60, 0xcf6d, 0xcf7a, 0xcf87, 0xcf95, 0xcfa2, 0xcfaf, 0xcfbc, 0xcfc9, 0xcfd6, 0xcfe4,
    0xcff1, 0xcffe, 0xd00b, 0xd018, 0xd025, 0xd032, 0xd040, 0xd04d, 0xd05a, 0xd067, 0xd074, 0xd081,
    0xd08e, 0xd09b, 0xd0a9, 0xd0b6, 0xd0c3, 0xd0d0, 0xd0dd, 0xd0ea, 0xd0f7, 0xd104, 0xd111, 0xd11e,
    0xd12b, 0xd139, 0xd146, 0xd153, 0xd160, 0xd16d, 0xd17a, 0xd187, 0xd194, 0xd1a1, 0xd1ae, 0xd1bb,
    0xd1c8, 0xd1d5, 0xd1e2, 0xd1ef, 0xd1fc, 0xd209, 0xd216, 0xd223, 0xd230, 0xd23d, 0xd24a, 0xd257,
    0xd264, 0xd271, 0xd27e, 0xd28b, 0xd298, 0xd2a5, 0xd2b2, 0xd2bf, 0xd2cc, 0xd2d9, 0xd2e6, 0xd2f3,
    0xd300, 0xd30d, 0xd31a, 0xd327, 0xd334, 0xd341, 0xd34e, 0xd35b, 0xd368, 0xd375, 0xd382, 0xd38f,
    0xd39c, 0xd3a8, 0xd3b5, 0xd3c2, 0xd3cf, 0xd3dc, 0xd3e9, 0xd3f6, 0xd403, 0xd410, 0xd41d, 0xd42a,
    0xd436, 0xd443, 0xd450, 0xd45d, 0xd46a, 0xd477, 0xd484, 0xd491, 0xd49e, 0xd4aa, 0xd4b7, 0xd4c4,
    0xd4d1, 0xd4de, 0xd4eb, 0xd4f8, 0xd504, 0xd511, 0xd51e, 0xd52b, 0xd538, 0xd545, 0xd551, 0xd55e,
    0xd56b, 0xd578, 0xd585, 0xd591, 0xd59e, 0xd5ab, 0xd5b8, 0xd5c5, 0xd5d1, 0xd5de, 0xd5eb, 0xd5f8,
    0xd605, 0xd611, 0xd61e, 0xd62b, 0xd638, 0xd645, 0xd651, 0xd65e, 0xd66b, 0xd678, 0xd684, 0xd691,
    0xd69e, 0xd6ab, 0xd6b7, 0xd6c4, 0xd6d1, 0xd6de, 0xd6ea, 0xd6f7, 0xd704, 0xd710, 0xd71d, 0xd72a,
    0xd737, 0xd743, 0xd750, 0xd75d, 0xd769, 0xd776, 0xd783, 0xd78f, 0xd79c, 0xd7a9, 0xd7b6, 0xd7c2,
    0xd7cf, 0xd7dc, 0xd7e8, 0xd7f5, 0xd802, 0xd80e, 0xd81b, 0xd828, 0xd834, 0xd841, 0xd84e, 0xd85a,
    0xd867, 0xd873, 0xd880, 0xd88d, 0xd899, 0xd8a6, 0xd8b3, 0xd8bf, 0xd8cc, 0xd8d8, 0xd8e5, 0xd8f2,
    0xd8fe, 0xd90b, 0xd917, 0xd924, 0xd931, 0xd93d, 0xd94a, 0xd956, 0xd963, 0xd970, 0xd97c, 0xd989,
    0xd995, 0xd9a2, 0xd9ae, 0xd9bb, 0xd9c8, 0xd9d4, 0xd9e1, 0xd9ed, 0xd9fa, 0xda06, 0xda13, 0xda1f,
    0xda2c, 0xda38, 0xda45, 0xda51, 0xda5e, 0xda6a, 0xda77, 0xda84, 0xda90, 0xda9d, 0xdaa9, 0xdab6,
    0xdac2, 0xdacf, 0xdadb, 0xdae7, 0xdaf4, 0xdb00, 0xdb0d, 0xdb19, 0xdb26, 0xdb32, 0xdb3f, 0xdb4b,
    0xdb58, 0xdb64, 0xdb71, 0xdb7d, 0xdb8a, 0xdb96, 0xdba2, 0xdbaf, 0xdbbb, 0xdbc8, 0xdbd4, 0xdbe1,
    0xdbed, 0xdbf9, 0xdc06, 0xdc12, 0xdc1f, 0xdc2b, 0xdc38, 0xdc44, 0xdc50, 0xdc5d, 0xdc69, 0xdc76,
    0xdc82, 0xdc8e, 0xdc9b, 0xdca7, 0xdcb3, 0xdcc0, 0xdccc, 0xdcd9, 0xdce5, 0xdcf1, 0xdcfe, 0xdd0a,
    0xdd16, 0xdd23, 0xdd2f, 0xdd3b, 0xdd48, 0xdd54, 0xdd60, 0xdd6d, 0xdd79, 0xdd85, 0xdd92, 0xdd9e,
    0xddaa, 0xddb7, 0xddc3, 0xddcf, 0xdddc, 0xdde8, 0xddf4, 0xde01, 0xde0d, 0xde19, 0xde25, 0xde32,
    0xde3e, 0xde4a, 0xde57, 0xde63, 0xde6f, 0xde7b, 0xde88, 0xde94, 0xdea0, 0xdeac, 0xdeb9, 0xdec5,
    0xded1, 0xdedd, 0xdeea, 0xdef6, 0xdf02, 0xdf0e, 0xdf1b, 0xdf27, 0xdf33, 0xdf3f, 0xdf4c, 0xdf58,
    0xdf64, 0xdf70, 0xdf7c, 0xdf89, 0xdf95, 0xdfa1, 0xdfad, 0xdfb9, 0xdfc6, 0xdfd2, 0xdfde, 0xdfea,
    0xdff6, 0xe003, 0xe00f, 0xe01b, 0xe027, 0xe033, 0xe03f, 0xe04c, 0xe058, 0xe064, 0xe070, 0xe07c,
    0xe088, 0xe094, 0xe0a1, 0xe0ad, 0xe0b9, 0xe0c5, 0xe0d1, 0xe0dd, 0xe0e9, 0xe0f5, 0xe102, 0xe10e,
    0xe11a, 0xe126, 0xe132, 0xe13e, 0xe14a, 0xe156, 0xe162, 0xe16e, 0xe17b, 0xe187, 0xe193, 0xe19f,
    0xe1ab, 0xe1b7, 0xe1c3, 0xe1cf, 0xe1db, 0xe1e7, 0xe1f3, 0xe1ff, 0xe20b, 0xe217, 0xe223, 0xe22f,
    0xe23c, 0xe248, 0xe254, 0xe260, 0xe26c, 0xe278, 0xe284, 0xe290, 0xe29c, 0xe2a8, 0xe2b4, 0xe2c0,
    0xe2cc, 0xe2d8, 0xe2e4, 0xe2f0, 0xe2fc, 0xe308, 0xe314, 0xe320, 0xe32c, 0xe338, 0xe344, 0xe350,
    0xe35c, 0xe368, 0xe374, 0xe380, 0xe38b, 0xe397, 0xe3a3, 0xe3af, 0xe3bb, 0xe3c7, 0xe3d3, 0xe3df,
    0xe3eb, 0xe3f7, 0xe403, 0xe40f, 0xe41b, 0xe427, 0xe433, 0xe43f, 0xe44a, 0xe456, 0xe462, 0xe46e,
    0xe47a, 0xe486, 0xe492, 0xe49e, 0xe4aa, 0xe4b6, 0xe4c1, 0xe4cd, 0xe4d9, 0xe4e5, 0xe4f1, 0xe4fd,
    0xe509, 0xe515, 0xe520, 0xe52c, 0xe538, 0xe544, 0xe550, 0xe55c, 0xe567, 0xe573, 0xe57f, 0xe58b,
    0xe597, 0xe5a3, 0xe5af, 0xe5ba, 0xe5c6, 0xe5d2, 0xe5de, 0xe5ea, 0xe5f5, 0xe601, 0xe60d, 0xe619,
    0xe625, 0xe630, 0xe63c, 0xe648, 0xe654, 0xe660, 0xe66b, 0xe677, 0xe683, 0xe68f, 0xe69a, 0xe6a6,
    0xe6b2, 0xe6be, 0xe6ca, 0xe6d5, 0xe6e1, 0xe6ed, 0xe6f9, 0xe704, 0xe710, 0xe71c, 0xe727, 0xe733,
    0xe73f, 0xe74b, 0xe756, 0xe762, 0xe76e, 0xe77a, 0xe785, 0xe791, 0xe79d, 0xe7a8, 0xe7b4, 0xe7c0,
    0xe7cb, 0xe7d7, 0xe7e3, 0xe7ef, 0xe7fa, 0xe806, 0xe812, 0xe81d, 0xe829, 0xe835, 0xe840, 0xe84c,
    0xe858, 0xe863, 0xe86f, 0xe87b, 0xe886, 0xe892, 0xe89e, 0xe8a9, 0xe8b5, 0xe8c0, 0xe8cc, 0xe8d8,
    0xe8e3, 0xe8ef, 0xe8fb, 0xe906, 0xe912, 0xe91d, 0xe929, 0xe935, 0xe940, 0xe94c, 0xe958, 0xe963,
    0xe96f, 0xe97a, 0xe986, 0xe991, 0xe99d, 0xe9a9, 0xe9b4, 0xe9c0, 0xe9cb, 0xe9d7, 0xe9e3, 0xe9ee,
    0xe9fa, 0xea05, 0xea11, 0xea1c, 0xea28, 0xea33, 0xea3f, 0xea4a, 0xea56, 0xea62, 0xea6d, 0xea79,
    0xea84, 0xea90, 0xea9b, 0xeaa7, 0xeab2, 0xeabe, 0xeac9, 0xead5, 0xeae0, 0xeaec, 0xeaf7, 0xeb03,
    0xeb0e, 0xeb1a, 0xeb25, 0xeb31, 0xeb3c, 0xeb48, 0xeb53, 0xeb5f, 0xeb6a, 0xeb76, 0xeb81, 0xeb8d,
    0xeb98, 0xeba3, 0xebaf, 0xebba, 0xebc6, 0xebd1, 0xebdd, 0xebe8, 0xebf4, 0xebff, 0xec0a, 0xec16,
    0xec21, 0xec2d, 0xec38, 0xec44, 0xec4f, 0xec5a, 0xec66, 0xec71, 0xec7d, 0xec88, 0xec93, 0xec9f,
    0xecaa, 0xecb6, 0xecc1, 0xeccc, 0xecd8, 0xece3, 0xecef, 0xecfa, 0xed05, 0xed11, 0xed1c, 0xed27,
    0xed33, 0xed3e, 0xed4a, 0xed55, 0xed60, 0xed6c, 0xed77, 0xed82, 0xed8e, 0xed99, 0xeda4, 0xedb0,
    0xedbb, 0xedc6, 0xedd2, 0xeddd, 0xede8, 0xedf4, 0xedff, 0xee0a, 0xee15, 0xee21, 0xee2c, 0xee37,
    0xee43, 0xee4e, 0xee59, 0xee65, 0xee70, 0xee7b, 0xee86, 0xee92, 0xee9d, 0xeea8, 0xeeb3, 0xeebf,
    0xeeca, 0xeed5, 0xeee1, 0xeeec, 0xeef7, 0xef02, 0xef0e, 0xef19, 0xef24, 0xef2f, 0xef3a, 0xef46,
    0xef51, 0xef5c, 0xef67, 0xef73, 0xef7e, 0xef89, 0xef94, 0xef9f, 0xefab, 0xefb6, 0xefc1, 0xefcc,
    0xefd7, 0xefe3, 0xefee, 0xeff9, 0xf004, 0xf00f, 0xf01b, 0xf026, 0xf031, 0xf03c, 0xf047, 0xf052,
    0xf05e, 0xf069, 0xf074, 0xf07f, 0xf08a, 0xf095, 0xf0a1, 0xf0ac, 0xf0b7, 0xf0c2, 0xf0cd, 0xf0d8,
    0xf0e3, 0xf0ef, 0xf0fa, 0xf105, 0xf110, 0xf11b, 0xf126, 0xf131, 0xf13c, 0xf147, 0xf153, 0xf15e,
    0xf169, 0xf174, 0xf17f, 0xf18a, 0xf195, 0xf1a0, 0xf1ab, 0xf1b6, 0xf1c2, 0xf1cd, 0xf1d8, 0xf1e3,
    0xf1ee, 0xf1f9, 0xf204, 0xf20f, 0xf21a, 0xf225, 0xf230, 0xf23b, 0xf246, 0xf251, 0xf25c, 0xf267,
    0xf272, 0xf27d, 0xf288, 0xf293, 0xf29f, 0xf2aa, 0xf2b5, 0xf2c0, 0xf2cb, 0xf2d6, 0xf2e1, 0xf2ec,
    0xf2f7, 0xf302, 0xf30d, 0xf318, 0xf323, 0xf32e, 0xf339, 0xf344, 0xf34f, 0xf35a, 0xf364, 0xf36f,
    0xf37a, 0xf385, 0xf390, 0xf39b, 0xf3a6, 0xf3b1, 0xf3bc, 0xf3c7, 0xf3d2, 0xf3dd, 0xf3e8, 0xf3f3,
    0xf3fe, 0xf409, 0xf414, 0xf41f, 0xf42a, 0xf435, 0xf43f, 0xf44a, 0xf455, 0xf460, 0xf46b, 0xf476,
    0xf481, 0xf48c, 0xf497, 0xf4a2, 0xf4ad, 0xf4b7, 0xf4c2, 0xf4cd, 0xf4d8, 0xf4e3, 0xf4ee, 0xf4f9,
    0xf504, 0xf50f, 0xf519, 0xf524, 0xf52f, 0xf53a, 0xf545, 0xf550, 0xf55b, 0xf565, 0xf570, 0xf57b,
    0xf586, 0xf591, 0xf59c, 0xf5a6, 0xf5b1, 0xf5bc, 0xf5c7, 0xf5d2, 0xf5dd, 0xf5e7, 0xf5f2, 0xf5fd,
    0xf608, 0xf613, 0xf61d, 0xf628, 0xf633, 0xf63e, 0xf649, 0xf653, 0xf65e, 0xf669, 0xf674, 0xf67f,
    0xf689, 0xf694, 0xf69f, 0xf6aa, 0xf6b4, 0xf6bf, 0xf6ca, 0xf6d5, 0xf6e0, 0xf6ea, 0xf6f5, 0xf700,
    0xf70b, 0xf715, 0xf720, 0xf72b, 0xf736, 0xf740, 0xf74b, 0xf756, 0xf760, 0xf76b, 0xf776, 0xf781,
    0xf78b, 0xf796, 0xf7a1, 0xf7ab, 0xf7b6, 0xf7c1, 0xf7cc, 0xf7d6, 0xf7e1, 0xf7ec, 0xf7f6, 0xf801,
    0xf80c, 0xf816, 0xf821, 0xf82c, 0xf836, 0xf841, 0xf84c, 0xf856, 0xf861, 0xf86c, 0xf876, 0xf881,
    0xf88c, 0xf896, 0xf8a1, 0xf8ac, 0xf8b6, 0xf8c1, 0xf8cc, 0xf8d6, 0xf8e1, 0xf8ec, 0xf8f6, 0xf901,
    0xf90b, 0xf916, 0xf921, 0xf92b, 0xf936, 0xf941, 0xf94b, 0xf956, 0xf960, 0xf96b, 0xf976, 0xf980,
    0xf98b, 0xf995, 0xf9a0, 0xf9aa, 0xf9b5, 0xf9c0, 0xf9ca, 0xf9d5, 0xf9df, 0xf9ea, 0xf9f4, 0xf9ff,
    0xfa0a, 0xfa14, 0xfa1f, 0xfa29, 0xfa34, 0xfa3e, 0xfa49, 0xfa53, 0xfa5e, 0xfa69, 0xfa73, 0xfa7e,
    0xfa88, 0xfa93, 0xfa9d, 0xfaa8, 0xfab2, 0xfabd, 0xfac7, 0xfad2, 0xfadc, 0xfae7, 0xfaf1, 0xfafc,
    0xfb06, 0xfb11, 0xfb1b, 0xfb26, 0xfb30, 0xfb3b, 0xfb45, 0xfb50, 0xfb5a, 0xfb65, 0xfb6f, 0xfb7a,
    0xfb84, 0xfb8f, 0xfb99, 0xfba4, 0xfbae, 0xfbb8, 0xfbc3, 0xfbcd, 0xfbd8, 0xfbe2, 0xfbed, 0xfbf7,
    0xfc02, 0xfc0c, 0xfc16, 0xfc21, 0xfc2b, 0xfc36, 0xfc40, 0xfc4b, 0xfc55, 0xfc5f, 0xfc6a, 0xfc74,
    0xfc7f, 0xfc89, 0xfc93, 0xfc9e, 0xfca8, 0xfcb3, 0xfcbd, 0xfcc7, 0xfcd2, 0xfcdc, 0xfce7, 0xfcf1,
    0xfcfb, 0xfd06, 0xfd10, 0xfd1a, 0xfd25, 0xfd2f, 0xfd3a, 0xfd44, 0xfd4e, 0xfd59, 0xfd63, 0xfd6d,
    0xfd78, 0xfd82, 0xfd8c, 0xfd97, 0xfda1, 0xfdab, 0xfdb6, 0xfdc0, 0xfdca, 0xfdd5, 0xfddf, 0xfde9,
    0xfdf4, 0xfdfe, 0xfe08, 0xfe13, 0xfe1d, 0xfe27, 0xfe32, 0xfe3c, 0xfe46, 0xfe50, 0xfe5b, 0xfe65,
    0xfe6f, 0xfe7a, 0xfe84, 0xfe8e, 0xfe98, 0xfea3, 0xfead, 0xfeb7, 0xfec1, 0xfecc, 0xfed6, 0xfee0,
    0xfeeb, 0xfef5, 0xfeff, 0xff09, 0xff14, 0xff1e, 0xff28, 0xff32, 0xff3c, 0xff47, 0xff51, 0xff5b,
    0xff65, 0xff70, 0xff7a, 0xff84, 0xff8e, 0xff98, 0xffa3, 0xffad, 0xffb7, 0xffc1, 0xffcc, 0xffd6,
    0xffe0, 0xffea, 0xfff4, 0xffff};

// max value is pi/4
#ifdef _MSC_VER // TODO: remove as soon as boost allows C++14 features with Visual Studio
const constexpr double SCALING_FACTOR = 4. / M_PI * 0xFFFF;
#else
const constexpr double SCALING_FACTOR = 4. / boost::math::constants::pi<double>() * 0xFFFF;
#endif

inline double atan2_lookup(double y, double x)
{

    using namespace boost::math::constants;

    if (std::abs(x) < std::numeric_limits<double>::epsilon())
    {
        if (y >= 0.)
        {
            return half_pi<double>();
        }
        else
        {
            return -half_pi<double>();
        }
    }

    unsigned octant = 0;

    if (x < 0.)
    {
        octant = 1;
        x = -x;
    }
    if (y < 0.)
    {
        octant |= 2;
        y = -y;
    }

    double t = y / x;
    if (t > 1.0)
    {
        octant |= 4;
        t = 1.0 / t;
    }

    double angle = atan_table[(unsigned)(t * 4095)] / SCALING_FACTOR;

    switch (octant)
    {
    case 0:
        break;
    case 1:
        angle = pi<double>() - angle;
        break;
    case 2:
        angle = -angle;
        break;
    case 3:
        angle = -pi<double>() + angle;
        break;
    case 4:
        angle = half_pi<double>() - angle;
        break;
    case 5:
        angle = half_pi<double>() + angle;
        break;
    case 6:
        angle = -half_pi<double>() + angle;
        break;
    case 7:
        angle = -half_pi<double>() - angle;
        break;
    }
    return angle;
}
}
}

#endif // TRIGONOMETRY_TABLE_HPP
